Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
266 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 149 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #19097779 | C2 | semidirect |
| 3. #19097778 | C2 | semidirect |
| 4. #19097777 | C2 | semidirect |
| 5. M16×D157 | C2 | semidirect |
| 6. C2×C8×D157 | C2 | semidirect |
| 7. #131×C157 | C2 | semidirect |
| 14. #14578938 | C22 | semidirect |
| 15. #14578937 | C22 | semidirect |
| 16. C2×#11929434 | C22 | semidirect |
| 19. C8×D157 | C22 | semidirect |
| 20. C8×D157 | C22 | semidirect |
| 22. M16×C157 | C22 | semidirect |
| 23. C2×C8×C157 | C22 | semidirect |
| 51. D157 | #131 | direct (N × H) |
| 52. C157 | C2×#131 | semidirect |
| 58. #131 | D157 | direct (N × H) |
| 70. M16 | C2×D157 | semidirect |
| 76. C2×C8 | C2×D157 | semidirect |